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Finding the Fourth Proportional to 5,616.58, 7,750.94 and 3,098.80

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Solution

The fourth proportional to 5,616.58, 7,750.94 and 3,098.80 is: 4,276.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,616.58 : 7,750.94 = 3,098.80 : x
  2. Step 2: Convert to fraction form
    5,616.58/7,750.94 = 3,098.80/x
  3. Step 3: Cross multiply
    5,616.58x = 7,750.94 × 3,098.80
  4. Step 4: Simplify right side
    5,616.58x = 24,018,612.87
  5. Step 5: Solve for x
    x = 24,018,612.87/5,616.58
  6. Step 6: Final answer
    x = 4,276.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.